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Finding the Fourth Proportional to 2,433.79, 3,649.92 and 789.96

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Solution

The fourth proportional to 2,433.79, 3,649.92 and 789.96 is: 1,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.79 : 3,649.92 = 789.96 : x
  2. Step 2: Convert to fraction form
    2,433.79/3,649.92 = 789.96/x
  3. Step 3: Cross multiply
    2,433.79x = 3,649.92 × 789.96
  4. Step 4: Simplify right side
    2,433.79x = 2,883,290.80
  5. Step 5: Solve for x
    x = 2,883,290.80/2,433.79
  6. Step 6: Final answer
    x = 1,184.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.